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Nelson Martins-Ferreira ; Andrea Montoli ; Manuela Sobral - On some categorical-algebraic conditions in S-protomodular categories
lmcs:2552 - Logical Methods in Computer Science, September 1, 2017, Volume 13, Issue 3 - https://doi.org/10.23638/LMCS-13(3:18)2017
; Andrea Montoli ; Manuela Sobral
In the context of protomodular categories, several additional conditions have been considered in order to obtain a closer group-like behavior. Among them are locally algebraic cartesian closedness and algebraic coherence. The recent notion of S-protomodular category, whose main examples are the category of monoids and, more generally, categories of monoids with operations and Joónsson-Tarski varieties, raises a similar question: how to get a description of S-protomodular categories with a strong monoid-like behavior. In this paper we consider relative versions of the conditions mentioned above, in order to exhibit the parallelism with the "absolute" protomodular context and to obtain a hierarchy among S-protomodular categories.
- Source : OpenAIRE Graph
- Centre for Rapid and Sustainable Product Development; Funder: Fundação para a Ciência e a Tecnologia, I.P.; Code: UID/Multi/04044/2013
- Center for Mathematics, University of Coimbra; Funder: Fundação para a Ciência e a Tecnologia, I.P.; Code: UID/MAT/00324/2013